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Finding the Fourth Proportional to 6,352.13, 9,530.13 and 2,404.60

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Solution

The fourth proportional to 6,352.13, 9,530.13 and 2,404.60 is: 3,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.13 : 9,530.13 = 2,404.60 : x
  2. Step 2: Convert to fraction form
    6,352.13/9,530.13 = 2,404.60/x
  3. Step 3: Cross multiply
    6,352.13x = 9,530.13 × 2,404.60
  4. Step 4: Simplify right side
    6,352.13x = 22,916,150.60
  5. Step 5: Solve for x
    x = 22,916,150.60/6,352.13
  6. Step 6: Final answer
    x = 3,607.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.